You can use Diskpart to do it.
1. Type "diskpart" on the Start screen, then right-click it in the results and run it as an administrator.
2. Type "list disk" to get a list of the drives on your system, then find the one you want to erase. (Double-check this!)
3. Type "select disk X" where X is the drive number from the previous command output.
4. Double-check TWICE that you selected the right drive as Diskpart will not ask for confirmations.
5. Type "list partition" and verify again it's the right drive.
6. Repeat step 4.

7. Type "clean"
This will wipe all the partition information from the drive and you should be able to partition and format it in Disk Management.
You might want to switch to the proper disk before step 5 and use the "active" command to mark it so.
With your primary system partition showing as F it is possible you may find your system in an unbootable state so make sure you have a way to recover if necessary.